We prove a quantitative recurrence result which allow to estimate the speed of approaching of a generic orbit to the discontinuities of a map. This result is applied to the study of complexity indicators for individual orbits generated by a certain zero-entropy discontinuous maps which are related to polygonal billiards and quantum chaos.
Recurrence near given sets and the complexity of the Casati-Prosen map
GALATOLO, STEFANO;
2005-01-01
Abstract
We prove a quantitative recurrence result which allow to estimate the speed of approaching of a generic orbit to the discontinuities of a map. This result is applied to the study of complexity indicators for individual orbits generated by a certain zero-entropy discontinuous maps which are related to polygonal billiards and quantum chaos.File in questo prodotto:
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